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Digitale Medien

On the efficient solution of nonlinear finite element equations. II (1981)

Mittelmann, Hans Detlef

Springer

Numerische Mathematik 36 (1981), S. 375-387

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Details

ISSN: 0945-3245

Schlagwort(e): AMS(MOS): 65N30, 65K10, 49D20 ; CR: 5.17, 5.15

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik

Notizen: Summary We consider nonlinear variational inequalities corresponding to a locally convex minimization problem with linear constraints of obstacle type. An efficient method for the solution of the discretized problem is obtained by combining a slightly modified projected SOR-Newton method with the projected version of thec g-accelerated relaxation method presented in a preceding paper. The first algorithm is used to approximately reach in relatively few steps the proper subspace of active constraints. In the second phase a Kuhn-Tucker point is found to prescribed accuracy. Global convergence is proved and some numerical results are presented.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01395953

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